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Proof step 130 from proof abs-nodes-add-crash-aligned-h (previous step)

# buf0 = a0.alignedsize, # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, # buf3 = NODE_HEADER_SIZE, n < 2 * NODE_HEADER_SIZE + a0.alignedsize, n < 2 * NODE_HEADER_SIZE + a0.alignedsize + # buf + # buf1, abs-node(buf1, a), abs-nodes(buf, 2 * NODE_HEADER_SIZE + m + a0.alignedsize, x0, lax0, false), is-aligned(n, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), is-encoded(nodeheader(node-size-headerless(a0), false), buf3), is-encoded(a0, subarray(buf0, 0, node-size-headerless(a0))), ∃ buf2, buf4. subarray(buf3 + buf0 + validtrailer, 0, n) = buf2 + buf4 ∧ ( abs-padding(buf2) ∧ abs-nodes (buf4, m + # buf2, a0 ' + x0 + a ', @(m, 2 * NODE_HEADER_SIZE + a0.alignedsize) ' + lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ', boolvar) ∨ @(m, 2 * NODE_HEADER_SIZE + a0.alignedsize) ' + lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ' ≠ [] ∧ (@(m, 2 * NODE_HEADER_SIZE + a0.alignedsize) ' + lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ').head.off = m ∧ (@(m, 2 * NODE_HEADER_SIZE + a0.alignedsize) ' + lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ').head.size = # buf2 ∧ abs-node(buf2, a0) ∧ abs-nodes (buf4, m + # buf2, x0 + a ', (@(m, 2 * NODE_HEADER_SIZE + a0.alignedsize) ' + lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ').tail, boolvar)), ∀ buf4, buf1, a, n, m, x, lax, boolvar. # buf4 < #((buf3 + buf0 + validtrailer) + buf) → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf4 + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf4 + buf1, 0, n), m, x + a ', lax + @(m + # buf4, # buf1) ', boolvar) ∧ abs-nodes(buf4, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf4 + # buf1 ⊦ buf3 + buf0 + validtrailer = mkbuf(0), n = 2 * NODE_HEADER_SIZE + a0.alignedsize + # buf + # buf1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 131:
# buf3 = NODE_HEADER_SIZE, # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE, # buf0 = a0.alignedsize, subarray(buf3 + buf0 + validtrailer, 0, n) = buf4 + buf2, n < 2 * NODE_HEADER_SIZE + a0.alignedsize + # buf + # buf1, n < 2 * NODE_HEADER_SIZE + a0.alignedsize, abs-node(buf1, a), abs-nodes(buf, 2 * NODE_HEADER_SIZE + m + a0.alignedsize, x0, lax0, false), is-aligned(m, NODE_HEADER_SIZE), is-aligned(n, NODE_HEADER_SIZE), is-encoded(a0, subarray(buf0, 0, node-size-headerless(a0))), is-encoded(nodeheader(node-size-headerless(a0), false), buf3), abs-padding(buf4) ∧ abs-nodes (buf2, m + # buf4, a0 ' + x0 + a ', @(m, 2 * NODE_HEADER_SIZE + a0.alignedsize) ' + lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ', boolvar) ∨ 2 * NODE_HEADER_SIZE + a0.alignedsize = # buf4 ∧ abs-node(buf4, a0) ∧ abs-nodes(buf2, m + # buf4, x0 + a ', lax0 + @(2 * NODE_HEADER_SIZE + m + a0.alignedsize + # buf, # buf1) ', boolvar), ∀ buf4, buf1, a, n, m, x, lax, boolvar. # buf4 < #((buf3 + buf0 + validtrailer) + buf) → # buf1 = a.alignedsize + 2 * NODE_HEADER_SIZE ∧ n < # buf4 + # buf1 ∧ abs-node(buf1, a) ∧ abs-nodes(subarray(buf4 + buf1, 0, n), m, x + a ', lax + @(m + # buf4, # buf1) ', boolvar) ∧ abs-nodes(buf4, m, x, lax, false) ∧ is-aligned(n, NODE_HEADER_SIZE) ∧ is-aligned(m, NODE_HEADER_SIZE) → n = # buf4 + # buf1 ⊦ buf3 + buf0 + validtrailer = mkbuf(0), n = 2 * NODE_HEADER_SIZE + a0.alignedsize + # buf + # buf1

Rule argument

Additional information

Used simplifier rules: ⊦ (ladr ' + lax).tail = lax; (s)% ⊦ @(m, m0).size = m0; (s)% ⊦ @(m, m0).off = m; (s)% ⊦ (ladr ' + lax).head = ladr; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ ladr ' + lax ≠ []; (s)